Structure of Nonnegative Nontrivial and Positive Solutions of Singularly Perturbed p-Laplace Equations
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摘要: 精确地刻画了某些奇异扰动的p-Laplace方程非负非平凡解和正解的结构.利用上下解方法证明,方程存在很多非负非平凡的尖峰解和正的过渡尖峰解.当参数充分小时还对每个尖峰解支集的上下界进行了估计.
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关键词:
- p-Laplace方程 /
- 非负非平凡解 /
- 正解 /
- 尖峰解 /
- 上下解
Abstract: Structure of nonnegative nontrivial and positive solutions was precisely studied for some singularly perturbed p-Laplace equations. By virtue of sub- and supersolution method, it is shown that there are many nonnegative nontrivial spike-layer solutions and positive intermediate spike-layer solutions. Moreover, the upper and lower bound on the measure of each spike-layer were estimated when the parameter is sufficiently small. -
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